## Bañuelos, Rodrigo

Compute Distance To:
 Author ID: banuelos.rodrigo Published as: Bañuelos, Rodrigo; Bañuelos, R. External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 101 Publications since 1985, including 1 Book 1 Contribution as Editor Biographic References: 2 Publications Co-Authors: 41 Co-Authors with 93 Joint Publications 698 Co-Co-Authors
all top 5

### Co-Authors

 9 single-authored 15 Osękowski, Adam 10 Carroll, Tom 8 Kulczycki, Tadeusz 8 Moore, Charles Nelson 6 Méndez-Hernández, Pedro J. 5 Bogdan, Krzysztof 5 Davis, Burgess 5 Pang, Michael M. H. 3 Baudoin, Fabrice 3 Burdzy, Krzysztof 3 Siudeja, Bartłomiej Andrzej 3 Wang, Gang 2 Bass, Richard F. 2 Deblassie, Dante 2 Housworth, Elizabeth Ann 2 Janakiraman, Prabhu 2 Klemes, Ivo 2 Kröger, Pawel 2 Øksendal, Bernt Karsten 2 Smits, Robert G. 2 van den Berg, Michiel 1 Acuña Valverde, Luis 1 Applebaum, David B. 1 Bennett, Andrew G. 1 Bielaszewski, Adam 1 Brossard, Jean 1 Brzozowski, Michał 1 DeBlassie, Richard Dante 1 Gałązka, Tomasz 1 Kim, Daesung 1 Kwaśnicki, Mateusz 1 Latała, Rafał 1 Lindeman, Arthur II 1 Luks, Tomasz 1 Mijena, Jebessa B. 1 Nane, Erkan 1 Polterovich, Iosif 1 Sá Barreto, Antônio 1 Sire, Yannick 1 Wolff, Thomas H. 1 Yolcu, Selma Yıldırım
all top 5

### Serials

 14 Journal of Functional Analysis 9 Indiana University Mathematics Journal 8 Duke Mathematical Journal 8 Proceedings of the American Mathematical Society 7 Potential Analysis 6 Michigan Mathematical Journal 5 Probability Theory and Related Fields 4 Illinois Journal of Mathematics 4 Journal of the London Mathematical Society. Second Series 4 Transactions of the American Mathematical Society 3 Communications in Mathematical Physics 3 Communications in Partial Differential Equations 2 Journal of Mathematical Analysis and Applications 2 Annales de l’Institut Fourier 2 The Annals of Probability 1 Studia Mathematica 1 Arkiv för Matematik 1 Advances in Mathematics 1 American Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Journal of Differential Equations 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Stochastic Processes and their Applications 1 Electronic Journal of Differential Equations (EJDE) 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Mathematical Proceedings of the Royal Irish Academy 1 The Quarterly Journal of Mathematics 1 Progress in Mathematics
all top 5

### Fields

 74 Probability theory and stochastic processes (60-XX) 27 Partial differential equations (35-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 20 Potential theory (31-XX) 9 Functions of a complex variable (30-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Operator theory (47-XX) 4 Real functions (26-XX) 3 Functional analysis (46-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 1 History and biography (01-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

96 Publications have been cited 1,091 times in 620 Documents Cited by Year
Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transforms. Zbl 0853.60040
Bañuelos, Rodrigo; Wang, Gang
1995
On the “hot spots” conjecture of J. Rauch. Zbl 0938.35045
Bañuelos, Rodrigo; Burdzy, Krzysztof
1999
Intrinsic ultracontractivity and eigenfunction estimates for Schrödinger operators. Zbl 0766.47025
Bañuelos, Rodrigo
1991
Brownian motion in cones. Zbl 0884.60037
Bañuelos, Rodrigo; Smits, Robert G.
1997
The Cauchy process and the Steklov problem. Zbl 1055.60072
2004
$$L^p$$-bounds for the Beurling-Ahlfors transform. Zbl 1220.42012
Bañuelos, Rodrigo; Janakiraman, Prabhu
2008
Brownian motion and the fundamental frequency of a drum. Zbl 0817.58046
Bañuelos, Rodrigo; Carroll, Tom
1994
Space-time Brownian motion and the Beurling-Ahlfors transform. Zbl 1080.60043
Bañuelos, R.; Méndez-Hernández, P. J.
2003
Lévy processes and Fourier multipliers. Zbl 1123.42002
Bañuelos, Rodrigo; Bogdan, Krzysztof
2007
The first exit time of planar Brownian motion from the interior of a parabola. Zbl 1013.60060
Bañuelos, Rodrigo; DeBlassie, R. Dante; Smits, Robert
2001
A Brascamp-Lieb-Luttinger-type inequality and applications to symmetric stable processes. Zbl 0974.60037
Bañuelos, Rodrigo; Latala, Rafal; Méndez-Hernández, Pedro J.
2001
The foundational inequalities of D. L. Burkholder and some of their ramifications. Zbl 1259.60047
Bañuelos, Rodrigo
2010
Trace estimates for stable processes. Zbl 1184.60012
2008
A geometrical characterization of intrinsic ultracontractivity for planar domains with boundaries given by the graphs of functions. Zbl 0836.60082
Bañuelos, Rodrigo; Davis, Burgess
1992
Symmetric stable processes in cones. Zbl 1054.31002
Bañuelos, Rodrigo; Bogdan, Krzysztof
2004
On the trace of symmetric stable processes on Lipschitz domains. Zbl 1189.60100
Bañuelos, Rodrigo; Kulczycki, Tadeusz; Siudeja, Bartłomiej
2009
Hölder domains and the boundary Harnack principle. Zbl 0755.35027
Bañuelos, Rodrigo; Bass, Richard F.; Burdzy, Krzysztof
1991
Torsional rigidity and expected lifetime of Brownian motion. Zbl 1014.60076
Bañuelos, Rodrigo; van den Berg, M.; Carroll, Tom
2002
Heat kernel, eigenfunctions, and conditioned Brownian motion in planar domains. Zbl 0676.60073
Bañuelos, Rodrigo; Davis, Burgess
1989
Martingale transforms and their projection operators on manifolds. Zbl 1280.58022
Bañuelos, Rodrigo; Baudoin, Fabrice
2013
Fourier multipliers for non-symmetric Lévy processes. Zbl 1242.42008
Bañuelos, Rodrigo; Bielaszewski, Adam; Bogdan, Krzysztof
2011
Martingale transforms and related singular integrals. Zbl 0591.60045
Bañuelos, Rodrigo
1986
A martingale study of the Beurling-Ahlfors transform in $$\mathbb{R}^ n$$. Zbl 0876.60026
Bañuelos, Rodrigo; Lindeman, Arthur II
1997
On an estimate of Cranston and McConnell for elliptic diffusions in uniform domains. Zbl 0611.60071
Bañuelos, Rodrigo
1987
Sharp inequalities for heat kernels of Schrödinger operators and applications to spectral gaps. Zbl 0966.35090
Bañuelos, Rodrigo; Méndez-Hernández, Pedro J.
2000
Martingales and sharp bounds for Fourier multipliers. Zbl 1266.42020
2012
On the shape of the ground state eigenfunction for stable processes. Zbl 1105.31006
Bañuelos, Rodrigo; Kulczycki, Tadeusz; Méndez-Hernández, Pedro J.
2006
Eigenvalue inequalities for mixed Steklov problems. Zbl 1217.35127
Bañuelos, Rodrigo; Kulczycki, Tadeusz; Polterovich, Iosif; Siudeja, Bartłomiej
2010
Heat trace of non-local operators. Zbl 1270.35142
Bañuelos, Rodrigo; Yolcu, Selma Yıldırım
2013
Sharp martingale inequalities and applications to Riesz transforms on manifolds, Lie groups and Gauss space. Zbl 1341.60029
2015
On the heat trace of Schrödinger operators. Zbl 0843.35016
Bañuelos, Rodrigo; Sá Barreto, Antônio
1995
On the weak-type constant of the Beurling-Ahlfors transform. Zbl 1184.42004
Bañuelos, Rodrigo; Janakiraman, Prabhu
2009
Orthogonal martingales under differential subordination and applications to Riesz transforms. Zbl 0883.60042
Bañuelos, Rodrigo; Wang, Gang
1996
Paraproducts and commutators of martingale transforms. Zbl 0663.60043
Bañuelos, Rodrigo; Bennett, Andrew G.
1988
The exit distribution for iterated Brownian motion in cones. Zbl 1085.60058
Bañuelos, Rodrigo; Deblassie, Dante
2006
Probabilistic behavior of harmonic functions. Zbl 0944.60007
Bañuelos, Rodrigo; Moore, Charles N.
1999
Exit times for elliptic diffusions and BMO. Zbl 0625.60088
Bañuelos, R.; Øksendal, Bernt
1987
Lifetime and heat kernel estimates in non-smooth domains. Zbl 0797.60069
Bañuelos, Rodrigo
1992
Sharp estimates for Dirichlet eigenfunctions in simply connected domains. Zbl 0856.35093
Bañuelos, R.
1996
Dirichlet eigenfunctions for horn-shaped regions and Laplacians on cross sections. Zbl 0863.35070
Bañuelos, R.; van den Berg, M.
1996
A sharp good-$$\lambda$$ inequality with an application to Riesz transforms. Zbl 0662.60057
Bañuelos, Rodrigo
1988
The maximal expected lifetime of Brownian motion. Zbl 1318.60082
Bañuelos, Rodrigo; Carroll, Tom
2011
Eigenvalue gaps for the Cauchy process and a Poincaré inequality. Zbl 1089.60029
2006
Brownian motion and area functions. Zbl 0624.60058
Bañuelos, Rodrigo
1986
Sharp inequalities for the Beurling-Ahlfors transform on radial functions. Zbl 1277.60076
2013
Sharp integrability for Brownian motion in parabola-shaped regions. Zbl 1061.60082
Bañuelos, Rodrigo; Carroll, Tom
2005
Sharp estimates for Dirichlet eigenfunctions in horn-shaped regions. Zbl 0772.35042
Bañuelos, Rodrigo; Davis, Burgess
1992
Davis’s inequality for orthogonal martingales under differential subordination. Zbl 0967.60051
Bañuelos, Rodrigo; Wang, Gang
2000
Extremal problems for conditioned Brownian motion and the hyperbolic metric. Zbl 0963.31001
Bañuelos, Rodrigo; Carroll, Tom
2000
Two-term trace estimates for relativistic stable processes. Zbl 1307.60060
Bañuelos, Rodrigo; Mijena, Jebessa B.; Nane, Erkan
2014
Sharp maximal $$L^{p}$$-estimates for martingales. Zbl 1316.60059
2014
Weighted $$L^2$$ inequalities for square functions. Zbl 1398.42009
2018
An isoperimetric-type inequality for integrals of Green’s functions. Zbl 0849.31006
Bañuelos, Rodrigo; Housworth, Elizabeth
1995
Gradient estimates for the ground state Schrödinger eigenfunction and applications. Zbl 1079.35077
Bañuelos, Rodrigo; Kröger, Pawel
2001
An analogue for harmonic functions of Kolmogorov’s law of the iterated logarithm. Zbl 0666.31002
Bañuelos, Rodrigo; Klemes, Ivo; Moore, Charles N.
1988
An inequality for potentials and the “hot-spots” conjecture. Zbl 1058.31003
Bañuelos, Rodrigo; Pang, Michael
2004
Hardy-Stein identities and square functions for semigroups. Zbl 1354.42027
Bañuelos, Rodrigo; Bogdan, Krzysztof; Luks, Tomasz
2016
Spectral gap for the Cauchy process on convex, symmetric domains. Zbl 1123.60029
2006
Burkholder inequalities for submartingales, Bessel processes and conformal martingales. Zbl 1286.60041
2013
Martingale transform and Lévy processes on Lie groups. Zbl 1301.60057
Applebaum, David; Bañuelos, Rodrigo
2014
Sharp estimates for nontangential maximal function and the Lusin area function in Lipschitz domains. Zbl 0675.42016
Bañuelos, Rodrigo; Moore, Charles N.
1989
Heat content and small time asymptotics for Schrödinger operators on $$\mathbb R^d$$. Zbl 1322.60157
Acuña Valverde, Luis; Bañuelos, Rodrigo
2015
Conditioned Brownian motion and hyperbolic geodesics in simply connected domains. Zbl 0805.60077
Bañuelos, Rodrigo; Carroll, Tom
1993
On the $$\ell^p$$-norm of the discrete Hilbert transform. Zbl 1466.60156
Bañuelos, Rodrigo; Kwaśnicki, Mateusz
2019
Symmetric stable processes in parabola-shaped regions. Zbl 1080.31003
Bañuelos, Rodrigo; Bogdan, Krzysztof
2005
Symmetrization of Lévy processes and applications. Zbl 1194.60031
Bañuelos, Rodrigo; Méndez-Hernández, Pedro J.
2010
The area integral and its density for BMO and VMO functions. Zbl 0803.42008
Bañuelos, Rodrigo; Brossard, Jean
1993
Brownian motion with killing and reflection and the “hot-spots” problem. Zbl 1064.60175
Bañuelos, Rodrigo; Pang, Michael; Pascu, Mihai
2004
Lower bound gradient estimates for solutions of Schrödinger equations and heat kernels. Zbl 0924.35019
Bañuelos, Rodrigo; Pang, Michael M. H.
1999
On Astala’s theorem for martingales and Fourier multipliers. Zbl 1341.42023
2015
Laws of the iterated logarithm, sharp good-$$\lambda$$ inequalities and $$L^ p$$-estimates for caloric and harmonic functions. Zbl 0718.31002
Bañuelos, Rodrigo; Moore, Charles N.
1989
Level sets of Neumann eigenfunctions. Zbl 1106.35037
Bañuelos, Rodrigo; Pang, Michael M. H.
2006
Erratum: Sharp estimates for Dirichlet eigenfunctions in Horn-shaped regions. Zbl 0805.35082
Bañuelos, Rodrigo; Davis, Burgess
1994
Addendum to “Brownian motion and the fundamental frequency of a drum”. Zbl 0847.58075
Bañuelos, Rodrigo; Carroll, Tom
1996
Isoperimetric-type bounds for solutions of the heat equation. Zbl 0913.35052
Bañuelos, Rodrigo; Kröger, Pawel
1997
A stochastic approach to quasi-everywhere boundary convergence of harmonic functions. Zbl 0636.60078
Bañuelos, Rodrigo; Øksendal, Bernt
1987
Neumann Bessel heat kernel monotonicity. Zbl 1165.60030
Bañuelos, R.; Kulczycki, T.; Siudeja, B.
2009
Stability and approximations of eigenvalues and eigenfunctions for the Neumann Laplacian. I. Zbl 1173.35614
Bañuelos, Rodrigo; Pang, Michael M. H.
2008
A weighted maximal inequality for differentially subordinate martingales. Zbl 1390.60159
2018
Sharp weak type inequalities for fractional integral operators. Zbl 1375.26013
2017
On the Bellman function of Nazarov, Treil and Volberg. Zbl 1311.42065
2014
Hot-spots for conditioned Brownian motion. Zbl 1106.47015
Bañuelos, Rodrigo; Mendez-Hernandez, Pedro J.
2006
Gundy-Varopoulos martingale transforms and their projection operators on manifolds and vector bundles. Zbl 1462.58018
Bañuelos, Rodrigo; Baudoin, Fabrice; Chen, Li
2020
An improvement of the Osserman constant for the bass note of a drum. Zbl 0846.58052
Bañuelos, Rodrigo; Carroll, Tom
1995
Inradius and integral means for Green’s functions and conformal mappings. Zbl 0899.30011
Bañuelos, Rodrigo; Carroll, Tom; Housworth, Elizabeth
1998
Mean growth of Bloch functions and Makarov’s law of the iterated logarithm. Zbl 0737.30024
Bañuelos, Rodrigo; Moore, Charles N.
1991
A representation of local time for Lipschitz surfaces. Zbl 0669.60074
Bañuelos, Rodrigo; Bass, Richard F.; Burdzy, Krzysztof
1990
Note on $$H^ 2$$ on planar domains. Zbl 0582.30025
Bañuelos, R.; Wolff, T.
1985
Stretching convex domains and the hyperbolic metric. Zbl 1213.30004
Bañuelos, Rodrigo; Carroll, Tom
2010
The lower bound in the law of the iterated logarithm for harmonic functions. Zbl 0718.60027
Bañuelos, R.; Klemeš, I.; Moore, C.
1990
Distribution function inequalities for the density of the area integral. Zbl 0727.42016
Bañuelos, R.; Moore, Ch. N.
1991
On the operator $$\Lambda^{\ast}$$ and the Beurling-Ahlfors transform on radial functions. Zbl 1286.42013
2014
Some results in analysis related to the law of the iterated logarithm. Zbl 0677.60036
Bañuelos, Rodrigo; Moore, Charles N.
1989
On the first eigenfunction of the symmetric stable process in a bounded Lipschitz domain. Zbl 1315.60053
Bañuelos, Rodrigo; DeBlassie, Dante
2015
Stability in Burkholder’s differentially subordinate martingales inequalities and applications to Fourier multipliers. Zbl 1403.42009
2018
Hardy-Stein identity for non-symmetric Lévy processes and Fourier multipliers. Zbl 1479.60092
Bañuelos, Rodrigo; Kim, Daesung
2019
Gundy-Varopoulos martingale transforms and their projection operators on manifolds and vector bundles. Zbl 1462.58018
Bañuelos, Rodrigo; Baudoin, Fabrice; Chen, Li
2020
On the $$\ell^p$$-norm of the discrete Hilbert transform. Zbl 1466.60156
Bañuelos, Rodrigo; Kwaśnicki, Mateusz
2019
Hardy-Stein identity for non-symmetric Lévy processes and Fourier multipliers. Zbl 1479.60092
Bañuelos, Rodrigo; Kim, Daesung
2019
Weighted $$L^2$$ inequalities for square functions. Zbl 1398.42009
2018
A weighted maximal inequality for differentially subordinate martingales. Zbl 1390.60159
2018
Stability in Burkholder’s differentially subordinate martingales inequalities and applications to Fourier multipliers. Zbl 1403.42009
2018
Sharp weak type inequalities for fractional integral operators. Zbl 1375.26013
2017
Hardy-Stein identities and square functions for semigroups. Zbl 1354.42027
Bañuelos, Rodrigo; Bogdan, Krzysztof; Luks, Tomasz
2016
Sharp martingale inequalities and applications to Riesz transforms on manifolds, Lie groups and Gauss space. Zbl 1341.60029
2015
Heat content and small time asymptotics for Schrödinger operators on $$\mathbb R^d$$. Zbl 1322.60157
Acuña Valverde, Luis; Bañuelos, Rodrigo
2015
On Astala’s theorem for martingales and Fourier multipliers. Zbl 1341.42023
2015
On the first eigenfunction of the symmetric stable process in a bounded Lipschitz domain. Zbl 1315.60053
Bañuelos, Rodrigo; DeBlassie, Dante
2015
Two-term trace estimates for relativistic stable processes. Zbl 1307.60060
Bañuelos, Rodrigo; Mijena, Jebessa B.; Nane, Erkan
2014
Sharp maximal $$L^{p}$$-estimates for martingales. Zbl 1316.60059
2014
Martingale transform and Lévy processes on Lie groups. Zbl 1301.60057
Applebaum, David; Bañuelos, Rodrigo
2014
On the Bellman function of Nazarov, Treil and Volberg. Zbl 1311.42065
2014
On the operator $$\Lambda^{\ast}$$ and the Beurling-Ahlfors transform on radial functions. Zbl 1286.42013
2014
Martingale transforms and their projection operators on manifolds. Zbl 1280.58022
Bañuelos, Rodrigo; Baudoin, Fabrice
2013
Heat trace of non-local operators. Zbl 1270.35142
Bañuelos, Rodrigo; Yolcu, Selma Yıldırım
2013
Sharp inequalities for the Beurling-Ahlfors transform on radial functions. Zbl 1277.60076
2013
Burkholder inequalities for submartingales, Bessel processes and conformal martingales. Zbl 1286.60041
2013
Martingales and sharp bounds for Fourier multipliers. Zbl 1266.42020
2012
Fourier multipliers for non-symmetric Lévy processes. Zbl 1242.42008
Bañuelos, Rodrigo; Bielaszewski, Adam; Bogdan, Krzysztof
2011
The maximal expected lifetime of Brownian motion. Zbl 1318.60082
Bañuelos, Rodrigo; Carroll, Tom
2011
The foundational inequalities of D. L. Burkholder and some of their ramifications. Zbl 1259.60047
Bañuelos, Rodrigo
2010
Eigenvalue inequalities for mixed Steklov problems. Zbl 1217.35127
Bañuelos, Rodrigo; Kulczycki, Tadeusz; Polterovich, Iosif; Siudeja, Bartłomiej
2010
Symmetrization of Lévy processes and applications. Zbl 1194.60031
Bañuelos, Rodrigo; Méndez-Hernández, Pedro J.
2010
Stretching convex domains and the hyperbolic metric. Zbl 1213.30004
Bañuelos, Rodrigo; Carroll, Tom
2010
On the trace of symmetric stable processes on Lipschitz domains. Zbl 1189.60100
Bañuelos, Rodrigo; Kulczycki, Tadeusz; Siudeja, Bartłomiej
2009
On the weak-type constant of the Beurling-Ahlfors transform. Zbl 1184.42004
Bañuelos, Rodrigo; Janakiraman, Prabhu
2009
Neumann Bessel heat kernel monotonicity. Zbl 1165.60030
Bañuelos, R.; Kulczycki, T.; Siudeja, B.
2009
$$L^p$$-bounds for the Beurling-Ahlfors transform. Zbl 1220.42012
Bañuelos, Rodrigo; Janakiraman, Prabhu
2008
Trace estimates for stable processes. Zbl 1184.60012
2008
Stability and approximations of eigenvalues and eigenfunctions for the Neumann Laplacian. I. Zbl 1173.35614
Bañuelos, Rodrigo; Pang, Michael M. H.
2008
Lévy processes and Fourier multipliers. Zbl 1123.42002
Bañuelos, Rodrigo; Bogdan, Krzysztof
2007
On the shape of the ground state eigenfunction for stable processes. Zbl 1105.31006
Bañuelos, Rodrigo; Kulczycki, Tadeusz; Méndez-Hernández, Pedro J.
2006
The exit distribution for iterated Brownian motion in cones. Zbl 1085.60058
Bañuelos, Rodrigo; Deblassie, Dante
2006
Eigenvalue gaps for the Cauchy process and a Poincaré inequality. Zbl 1089.60029
2006
Spectral gap for the Cauchy process on convex, symmetric domains. Zbl 1123.60029
2006
Level sets of Neumann eigenfunctions. Zbl 1106.35037
Bañuelos, Rodrigo; Pang, Michael M. H.
2006
Hot-spots for conditioned Brownian motion. Zbl 1106.47015
Bañuelos, Rodrigo; Mendez-Hernandez, Pedro J.
2006
Sharp integrability for Brownian motion in parabola-shaped regions. Zbl 1061.60082
Bañuelos, Rodrigo; Carroll, Tom
2005
Symmetric stable processes in parabola-shaped regions. Zbl 1080.31003
Bañuelos, Rodrigo; Bogdan, Krzysztof
2005
The Cauchy process and the Steklov problem. Zbl 1055.60072
2004
Symmetric stable processes in cones. Zbl 1054.31002
Bañuelos, Rodrigo; Bogdan, Krzysztof
2004
An inequality for potentials and the “hot-spots” conjecture. Zbl 1058.31003
Bañuelos, Rodrigo; Pang, Michael
2004
Brownian motion with killing and reflection and the “hot-spots” problem. Zbl 1064.60175
Bañuelos, Rodrigo; Pang, Michael; Pascu, Mihai
2004
Space-time Brownian motion and the Beurling-Ahlfors transform. Zbl 1080.60043
Bañuelos, R.; Méndez-Hernández, P. J.
2003
Torsional rigidity and expected lifetime of Brownian motion. Zbl 1014.60076
Bañuelos, Rodrigo; van den Berg, M.; Carroll, Tom
2002
The first exit time of planar Brownian motion from the interior of a parabola. Zbl 1013.60060
Bañuelos, Rodrigo; DeBlassie, R. Dante; Smits, Robert
2001
A Brascamp-Lieb-Luttinger-type inequality and applications to symmetric stable processes. Zbl 0974.60037
Bañuelos, Rodrigo; Latala, Rafal; Méndez-Hernández, Pedro J.
2001
Gradient estimates for the ground state Schrödinger eigenfunction and applications. Zbl 1079.35077
Bañuelos, Rodrigo; Kröger, Pawel
2001
Sharp inequalities for heat kernels of Schrödinger operators and applications to spectral gaps. Zbl 0966.35090
Bañuelos, Rodrigo; Méndez-Hernández, Pedro J.
2000
Davis’s inequality for orthogonal martingales under differential subordination. Zbl 0967.60051
Bañuelos, Rodrigo; Wang, Gang
2000
Extremal problems for conditioned Brownian motion and the hyperbolic metric. Zbl 0963.31001
Bañuelos, Rodrigo; Carroll, Tom
2000
On the “hot spots” conjecture of J. Rauch. Zbl 0938.35045
Bañuelos, Rodrigo; Burdzy, Krzysztof
1999
Probabilistic behavior of harmonic functions. Zbl 0944.60007
Bañuelos, Rodrigo; Moore, Charles N.
1999
Lower bound gradient estimates for solutions of Schrödinger equations and heat kernels. Zbl 0924.35019
Bañuelos, Rodrigo; Pang, Michael M. H.
1999
Inradius and integral means for Green’s functions and conformal mappings. Zbl 0899.30011
Bañuelos, Rodrigo; Carroll, Tom; Housworth, Elizabeth
1998
Brownian motion in cones. Zbl 0884.60037
Bañuelos, Rodrigo; Smits, Robert G.
1997
A martingale study of the Beurling-Ahlfors transform in $$\mathbb{R}^ n$$. Zbl 0876.60026
Bañuelos, Rodrigo; Lindeman, Arthur II
1997
Isoperimetric-type bounds for solutions of the heat equation. Zbl 0913.35052
Bañuelos, Rodrigo; Kröger, Pawel
1997
Orthogonal martingales under differential subordination and applications to Riesz transforms. Zbl 0883.60042
Bañuelos, Rodrigo; Wang, Gang
1996
Sharp estimates for Dirichlet eigenfunctions in simply connected domains. Zbl 0856.35093
Bañuelos, R.
1996
Dirichlet eigenfunctions for horn-shaped regions and Laplacians on cross sections. Zbl 0863.35070
Bañuelos, R.; van den Berg, M.
1996
Addendum to “Brownian motion and the fundamental frequency of a drum”. Zbl 0847.58075
Bañuelos, Rodrigo; Carroll, Tom
1996
Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transforms. Zbl 0853.60040
Bañuelos, Rodrigo; Wang, Gang
1995
On the heat trace of Schrödinger operators. Zbl 0843.35016
Bañuelos, Rodrigo; Sá Barreto, Antônio
1995
An isoperimetric-type inequality for integrals of Green’s functions. Zbl 0849.31006
Bañuelos, Rodrigo; Housworth, Elizabeth
1995
An improvement of the Osserman constant for the bass note of a drum. Zbl 0846.58052
Bañuelos, Rodrigo; Carroll, Tom
1995
Brownian motion and the fundamental frequency of a drum. Zbl 0817.58046
Bañuelos, Rodrigo; Carroll, Tom
1994
Erratum: Sharp estimates for Dirichlet eigenfunctions in Horn-shaped regions. Zbl 0805.35082
Bañuelos, Rodrigo; Davis, Burgess
1994
Conditioned Brownian motion and hyperbolic geodesics in simply connected domains. Zbl 0805.60077
Bañuelos, Rodrigo; Carroll, Tom
1993
The area integral and its density for BMO and VMO functions. Zbl 0803.42008
Bañuelos, Rodrigo; Brossard, Jean
1993
A geometrical characterization of intrinsic ultracontractivity for planar domains with boundaries given by the graphs of functions. Zbl 0836.60082
Bañuelos, Rodrigo; Davis, Burgess
1992
Lifetime and heat kernel estimates in non-smooth domains. Zbl 0797.60069
Bañuelos, Rodrigo
1992
Sharp estimates for Dirichlet eigenfunctions in horn-shaped regions. Zbl 0772.35042
Bañuelos, Rodrigo; Davis, Burgess
1992
Intrinsic ultracontractivity and eigenfunction estimates for Schrödinger operators. Zbl 0766.47025
Bañuelos, Rodrigo
1991
Hölder domains and the boundary Harnack principle. Zbl 0755.35027
Bañuelos, Rodrigo; Bass, Richard F.; Burdzy, Krzysztof
1991
Mean growth of Bloch functions and Makarov’s law of the iterated logarithm. Zbl 0737.30024
Bañuelos, Rodrigo; Moore, Charles N.
1991
Distribution function inequalities for the density of the area integral. Zbl 0727.42016
Bañuelos, R.; Moore, Ch. N.
1991
A representation of local time for Lipschitz surfaces. Zbl 0669.60074
Bañuelos, Rodrigo; Bass, Richard F.; Burdzy, Krzysztof
1990
The lower bound in the law of the iterated logarithm for harmonic functions. Zbl 0718.60027
Bañuelos, R.; Klemeš, I.; Moore, C.
1990
Heat kernel, eigenfunctions, and conditioned Brownian motion in planar domains. Zbl 0676.60073
Bañuelos, Rodrigo; Davis, Burgess
1989
Sharp estimates for nontangential maximal function and the Lusin area function in Lipschitz domains. Zbl 0675.42016
Bañuelos, Rodrigo; Moore, Charles N.
1989
Laws of the iterated logarithm, sharp good-$$\lambda$$ inequalities and $$L^ p$$-estimates for caloric and harmonic functions. Zbl 0718.31002
Bañuelos, Rodrigo; Moore, Charles N.
1989
Some results in analysis related to the law of the iterated logarithm. Zbl 0677.60036
Bañuelos, Rodrigo; Moore, Charles N.
1989
Paraproducts and commutators of martingale transforms. Zbl 0663.60043
Bañuelos, Rodrigo; Bennett, Andrew G.
1988
A sharp good-$$\lambda$$ inequality with an application to Riesz transforms. Zbl 0662.60057
Bañuelos, Rodrigo
1988
An analogue for harmonic functions of Kolmogorov’s law of the iterated logarithm. Zbl 0666.31002
Bañuelos, Rodrigo; Klemes, Ivo; Moore, Charles N.
1988
On an estimate of Cranston and McConnell for elliptic diffusions in uniform domains. Zbl 0611.60071
Bañuelos, Rodrigo
1987
Exit times for elliptic diffusions and BMO. Zbl 0625.60088
Bañuelos, R.; Øksendal, Bernt
1987
A stochastic approach to quasi-everywhere boundary convergence of harmonic functions. Zbl 0636.60078
Bañuelos, Rodrigo; Øksendal, Bernt
1987
Martingale transforms and related singular integrals. Zbl 0591.60045
Bañuelos, Rodrigo
1986
Brownian motion and area functions. Zbl 0624.60058
Bañuelos, Rodrigo
1986
Note on $$H^ 2$$ on planar domains. Zbl 0582.30025
Bañuelos, R.; Wolff, T.
1985
all top 5

### Cited by 625 Authors

 53 Bañuelos, Rodrigo 50 Osękowski, Adam 16 Bogdan, Krzysztof 16 Burdzy, Krzysztof 14 Kulczycki, Tadeusz 14 Song, Renming 12 Siudeja, Bartłomiej Andrzej 11 Kwaśnicki, Mateusz 11 Steinerberger, Stefan 9 Deblassie, Dante 9 Méndez-Hernández, Pedro J. 9 Volberg, Alexander Lvovich 8 Carroll, Tom 8 Janakiraman, Prabhu 8 Kaleta, Kamil 8 Nane, Erkan 7 Aikawa, Hiroaki 7 Chen, Zhen-Qing 7 Jiao, Yong 7 Lörinczi, József 7 van den Berg, Michiel 6 Acuña Valverde, Luis 6 Davis, Burgess 6 Li, Xiang-Dong 6 Murata, Minoru 6 Salakhudinov, Rustem Gumerovich 6 Smits, Robert G. 5 Dragičević, Oliver 5 Iwaniec, Tadeusz 5 Kim, Panki 5 Moore, Charles Nelson 5 Pang, Michael M. H. 5 Petermichl, Stefanie 5 Raschel, Kilian 5 Weth, Tobias 5 Yaroslavtsev, Ivan S. 5 Yolcu, Selma Yıldırım 4 Bass, Richard F. 4 Baudoin, Fabrice 4 Betsakos, Dimitrios 4 DeBlassie, Richard Dante 4 Domelevo, Komla 4 Kovač, Vjekoslav 4 Makasu, Cloud 4 Małecki, Jacek 4 Ryznar, Michał 4 Saksman, Eero 4 Savin, Ovidiu V. 4 Wang, Jian 4 Yolcu, Turkay 3 Aliev, Rashid Avazaga 3 Allouba, Hassan 3 Arcozzi, Nicola 3 Astala, Kari 3 Chevalier, Lucien 3 Collet, Pierre 3 De Silva, Daniela 3 Dipierro, Serena 3 Donnelly, Harold 3 Duraj, Jetlir 3 Frank, Rupert L. 3 Geiss, Stefan 3 Helffer, Bernard 3 Hurtado, Ana 3 Jarohs, Sven 3 Kendall, Wilfrid S. 3 Kim, Daesung 3 Laugesen, Richard Snyder 3 Li, Huaiqian 3 Markowsky, Greg T. 3 Markvorsen, Steen 3 Martinez Aguilera, Servet 3 Miyamoto, Yasuhito 3 Palmer, Vicente 3 Palmowski, Zbigniew 3 Ruan, Huo-Jun 3 San Martín, Jaime 3 Sire, Yannick 3 Sweers, Guido H. 3 Valdinoci, Enrico 3 Wachtel, Vitali I. 2 Adamowicz, Tomasz 2 Agarwal, Ravi P. 2 Ahmadova, Aynur Nofel 2 Akboudj, Meryem 2 Bérard, Pierre H. 2 Boros, Nicholas 2 Boudabra, Maher 2 Boza, Santiago 2 Brasco, Lorenzo 2 Brzozowski, Michał 2 Buttazzo, Giuseppe 2 Chen, Huyuan 2 Chen, Xin 2 Chen, Xingdi 2 Cossetti, Lucrezia 2 Coulhon, Thierry 2 de la Peña, Victor H. 2 Di Blasio, Giuseppina 2 Duo, Siwei ...and 525 more Authors
all top 5

### Cited in 173 Serials

 48 Journal of Functional Analysis 37 Potential Analysis 27 Transactions of the American Mathematical Society 21 Probability Theory and Related Fields 20 Journal of Mathematical Analysis and Applications 20 Proceedings of the American Mathematical Society 18 Stochastic Processes and their Applications 15 The Annals of Probability 15 Duke Mathematical Journal 13 Journal of Differential Equations 13 Statistics & Probability Letters 10 Journal d’Analyse Mathématique 10 Journal of Theoretical Probability 10 Communications in Partial Differential Equations 9 Advances in Mathematics 8 Journal of Mathematical Physics 8 Illinois Journal of Mathematics 8 Mathematische Zeitschrift 8 Electronic Communications in Probability 7 Mathematische Annalen 6 Rocky Mountain Journal of Mathematics 6 Arkiv för Matematik 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Revista Matemática Iberoamericana 6 The Journal of Geometric Analysis 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Michigan Mathematical Journal 5 Electronic Journal of Probability 5 Bernoulli 4 Communications in Mathematical Physics 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Tôhoku Mathematical Journal. Second Series 4 Journal of the American Mathematical Society 4 The Annals of Applied Probability 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Calculus of Variations and Partial Differential Equations 4 The Journal of Fourier Analysis and Applications 4 Computational Methods and Function Theory 3 Israel Journal of Mathematics 3 Reviews in Mathematical Physics 3 Annales de l’Institut Fourier 3 Archiv der Mathematik 3 Journal of the London Mathematical Society. Second Series 3 Mathematische Nachrichten 3 Monatshefte für Mathematik 3 Probability and Mathematical Statistics 3 Bulletin of the Polish Academy of Sciences, Mathematics 3 Russian Mathematics 3 Applied and Computational Harmonic Analysis 3 St. Petersburg Mathematical Journal 3 NoDEA. Nonlinear Differential Equations and Applications 3 Discrete and Continuous Dynamical Systems 3 Annales Henri Poincaré 3 Mediterranean Journal of Mathematics 3 Analysis & PDE 3 Journal of Spectral Theory 2 Bulletin of the Australian Mathematical Society 2 Canadian Journal of Mathematics 2 Integral Equations and Operator Theory 2 Journal of Combinatorial Theory. Series A 2 Journal of Computational and Applied Mathematics 2 Journal of the Mathematical Society of Japan 2 Journal für die Reine und Angewandte Mathematik 2 Stochastic Analysis and Applications 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Acta Mathematicae Applicatae Sinica. English Series 2 Forum Mathematicum 2 Linear Algebra and its Applications 2 Journal of Mathematical Sciences (New York) 2 Advances in Computational Mathematics 2 Integral Transforms and Special Functions 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Fractional Calculus & Applied Analysis 2 Communications in Contemporary Mathematics 2 Journal of Evolution Equations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Stochastics and Dynamics 2 Communications on Pure and Applied Analysis 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Analysis and Mathematical Physics 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Mathematics in Engineering 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 International Journal of Control 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Lithuanian Mathematical Journal 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physica A 1 Studia Mathematica 1 Theory of Probability and its Applications 1 Acta Mathematica 1 Annales Polonici Mathematici 1 Applied Mathematics and Optimization 1 Bulletin of the London Mathematical Society ...and 73 more Serials
all top 5

### Cited in 39 Fields

 328 Probability theory and stochastic processes (60-XX) 235 Partial differential equations (35-XX) 101 Harmonic analysis on Euclidean spaces (42-XX) 84 Potential theory (31-XX) 79 Operator theory (47-XX) 45 Functional analysis (46-XX) 44 Functions of a complex variable (30-XX) 38 Global analysis, analysis on manifolds (58-XX) 30 Real functions (26-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 18 Quantum theory (81-XX) 16 Differential geometry (53-XX) 15 Numerical analysis (65-XX) 12 Measure and integration (28-XX) 12 Integral transforms, operational calculus (44-XX) 9 Combinatorics (05-XX) 8 Ordinary differential equations (34-XX) 8 Integral equations (45-XX) 7 Abstract harmonic analysis (43-XX) 7 Mechanics of deformable solids (74-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Difference and functional equations (39-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Topological groups, Lie groups (22-XX) 3 Special functions (33-XX) 3 Approximations and expansions (41-XX) 3 Fluid mechanics (76-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 2 Systems theory; control (93-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.